Problem #15: The Two Rugs
A woman has two rugs of the same material, one 10 feet by 10 feet and one
a long runner 8 feet by 1 foot. How can she make a single continuous cut in
the 10 foot by 10 foot rug, so as to form two pieces which, when combined with
the 8 foot by 1 foot rug can be stitched into a rug 9 feet by 12 feet? The two
rugs are of plain pattern and have a pile on one side only.